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Finding the Fourth Proportional to 98,793.59, 148,205.82 and 32,218.24

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Solution

The fourth proportional to 98,793.59, 148,205.82 and 32,218.24 is: 48,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,793.59 : 148,205.82 = 32,218.24 : x
  2. Step 2: Convert to fraction form
    98,793.59/148,205.82 = 32,218.24/x
  3. Step 3: Cross multiply
    98,793.59x = 148,205.82 × 32,218.24
  4. Step 4: Simplify right side
    98,793.59x = 4,774,930,307.64
  5. Step 5: Solve for x
    x = 4,774,930,307.64/98,793.59
  6. Step 6: Final answer
    x = 48,332.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.